The balloon reaches a height of 7 feet at 0.1 seconds and 2.13 seconds
<h3>How to determine the time the balloon is at the height?</h3>
The equation of the function is given as
h(t)= -16t^2 + 35t + 5
The above equation is a quadratic equation
When the balloon is at a height of 7 feet, we have
h(t) = 7
So, we have the following equations
h(t)= -16t^2 + 35t + 5
h(t) = 7
Next, we plot the equations on a graph (see attachment)
The equations intersect at
t = 0.059 and t = 2.129
Approximate
t = 0.1 and 2.13
Hence, the times are 0.1 seconds and 2.13 seconds
Read more about quadratic equation at
brainly.com/question/15709421
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Answer:
12/7=x
Hope this helps :)
Step-by-step explanation:
1. subtract 7 from both sides of the equation.
2.Simplify.
3. Divide both sides of the equation by the same term.
4.Simplify.
Answer:
(a) 
(b) 
(c) 
(d) 
Step-by-step explanation:
We need to simplify the given expressions.
(a)
Consider the given expression is
Using the property of exponent, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
(b)
Consider the given expression is
Using the property of exponent, we get
![[\because (a^m)^n=a^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%5Em%29%5En%3Da%5E%7Bmn%7D%5D)
(c)
Consider the given expression is
Using the property of exponent, we get
![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
(d)
Consider the given expression is
Using the property of exponent, we get
![[\because \dfrac{a^m}{a^n}=a^{m-n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D)
Let's assume that the parabola has the following intersections with the x axis:
x1 = p
x2 = q
To find the equation of the parabola, we write the following product of binomials:
(x-p) (x-q) = 0
Where,
p, q: intersections with the x axis.
When developing the product of binomials, we obtain the equation of the parabola.
Answer:
(x-p) (x-q) = 0
